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Finding the Third Proportional to 443,160 and 645,365

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Solution

The third proportional to 443,160 and 645,365 is: 939,832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,160 : 645,365 = 645,365 : x
  2. Step 2: Convert to fraction form
    443,160/645,365 = 645,365/x
  3. Step 3: Cross multiply
    443,160x = 645,365 × 645,365
  4. Step 4: Simplify right side
    443,160x = 416,495,983,225
  5. Step 5: Solve for x
    x = 416,495,983,225/443,160
  6. Step 6: Final answer
    x = 939,832.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.